Pullback attractors for a nonautonomous damped wave equation with infinite delays in weighted space

In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space Cγ,H01(Ω),L2(Ω) and Cγ,D(A),H01(Ω), respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 41; no. 12; pp. 4612 - 4640
Main Authors Ran, Yanping, Shi, Qihong
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.08.2018
Subjects
infinite delays
nonautonoumous equation
pullback attractor
wave equation
Wave equations
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Summary:In this paper, we investigate the existence of solutions for a damped wave equation with infinite delays in the weighted space Cγ,H01(Ω),L2(Ω) and Cγ,D(A),H01(Ω), respectively. In addition, we study the existence of pullback attractor for the process associated to the problem by a direct and simple compactness method.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4918